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GCD of 352, 400, 116, 587 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 352, 400, 116, 587 quickly. Get the easiest ways to solve the greatest common divisor of 352, 400, 116, 587 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 352, 400, 116, 587 with Factoring?

Given Input numbers are 352, 400, 116, 587

In the factoring method, we have to find the divisors of all numbers

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 587 :

The positive integer divisors of 587 that completely divides 587 are.

1, 587


GCD of numbers is the greatest common divisor

So, the GCD (352, 400, 116, 587) = 1.

Find GCD of 352, 400, 116, 587 using Prime Factorization

Given numbers are 352, 400, 116, 587

The list of prime factors of all numbers are

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 116 are 2 x 2 x 29

Prime factors of 587 are 587

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 352, 400, 116, 587 using LCM Formula

Given numbers are 352, 400, 116, 587

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(352, 400) = 8800

GCD(352, 400) = ( 352 x 400 ) / 8800

= 352 / 400

= 352


Step2:

LCM(16, 116) = 464

GCD(16, 116) = ( 16 x 116 ) / 464

= 16 / 116

= 16


Step3:

LCM(4, 587) = 2348

GCD(4, 587) = ( 4 x 587 ) / 2348

= 4 / 587

= 4


So, Greatest Common Divisor of 352, 400, 116, 587 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 352, 400, 116, 587

Given numbers are 352, 400, 116, 587
The greatest common divisor of numbers 352, 400, 116, 587 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 400, 116, 587 is 1.

FAQs on GCD of 352, 400, 116, 587 Calculator

1. What is the GCD of 352, 400, 116, 587?

GCD of given numbers 352, 400, 116, 587 is 1


2. How to calculate the greatest common divisor of 352, 400, 116, 587?

We can find the highest common divisor of 352, 400, 116, 587 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 352, 400, 116, 587 i.e 1.


3. How can I use the GCD of 352, 400, 116, 587Calculator?

Out the numbers 352, 400, 116, 587 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.